In Class Worksheet 2 - Sudoku.docx

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California State University, Fullerton *

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120

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Statistics

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Apr 3, 2024

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Uploaded by CorporalMagpieMaster105

Sudoku Investigation 6 Step Method: Step 3 In-Class Activity Worksheet Step 3: Explore the Data In the last class period, we defined the research question for this investigation and divided students into two different groups that we want to compare. Now, we have data for each group and would like to investigate the difference between the groups. 1. Insert a screenshot of the Summary Statistics for each group as computed by Rguroo. 2. What are the five statistics in a five-number summary? Pick one of the two groups, identify the values of each of those statistics in that group, and write a sentence interpreting each of those values. Q1, Q3, IQR, min, and max. Q1= 106.5 for the visual group Q1= 25% of the students who had times below 106.5 Q3= 232. 25% to the students who had a time below 273 3. Calculate the interquartile range (IQR) for each group and write a sentence interpreting each IQR. The Inter-quartile range for Q3= 75% of the students had times below 273. (25% above) 4. What is an outlier? Using the 1.5 IQR convention, determine whether each group has any outliers.

An outlier is a number of value that is out of place compared to the rest of the values in the data set, usually a value that skews to the right or left of the graph 5. Insert the set of boxplots from Rguroo below. 6. How are outliers identified on a boxplot? Do your boxplots agree with your answer to Question #4? Outliers in a box plot are usually a dot that is separated from t5he box plot, that is above or in front of the max line.

7. Insert the set of histograms from Rguroo below. 8. Describe the shape of the distribution of completion times in each group. The shape for the visual timer is fairly normal and not as skewed as the no visual timer group. Their histogram seems to be skewed to the right by one person. 9. Would it make more sense to describe the center and variability of the distributions using mean + standard deviation or median + IQR? Explain based on your answers to Questions #4 and #8. It would make more sense to describe the center and variability of the distributions using the median + IQR because it is not symmetric and there are outliers. 10. In the sample, which group tended to take longer to complete the puzzle? Or did two groups take roughly the same amount of time? First, justify your answer based on the boxplots and histograms. Then, justify your answer based on the statistic you identified in Question #9. In the sample, the group with the visual timer took longer to complete the puzzle. We believe that they took longer to complete the puzzle because they are more focused on the visual timer, compared to completing the quiz. 11. In the sample, in which group was there more variation (variability) in completion times? Or were both groups roughly equally variable? First, justify your answer based on the boxplots and histograms. Then, justify your answer based on the statistic you identified in Question #9.

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